Theorems · Definition · measure theory
MeasureTheory.MeasuredSets
{α : Type u_1} → [mα : MeasurableSpace α] → MeasureTheory.Measure α → Type u_1The subtype of all measurable sets. We denote it as MeasuredSets μ, with an explicit but
unused parameter μ, to be able to define a distance on it given by edist s t = μ (s ∆ t)
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
- Assumes
- MeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasurableSetproof · cited by 3,075
Cited by9
Results whose statement or proof uses this declaration.
- MeasureTheory.MeasuredSets.sub_le_ediststatement and proof · cited by 2
- MeasureTheory.MeasuredSets.continuous_measurestatement and proof · cited by 1
- MeasureTheory.MeasuredSets.real_sub_real_le_diststatement and proof · cited by 1
- MeasureTheory.dense_of_generateFrom_isSetRingstatement and proof · cited by 0
- MeasureTheory.dense_of_generateFrom_isSetSemiringstatement and proof · cited by 0
- MeasureTheory.MeasuredSets.dist_defstatement and proof · cited by 0
- MeasureTheory.MeasuredSets.edist_defstatement and proof · cited by 0
- MeasureTheory.MeasuredSets.lipschitzWith_measureRealstatement and proof · cited by 0